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Finding the Third Proportional to 214,629.75 and 462,469.50

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Solution

The third proportional to 214,629.75 and 462,469.50 is: 996,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,629.75 : 462,469.50 = 462,469.50 : x
  2. Step 2: Convert to fraction form
    214,629.75/462,469.50 = 462,469.50/x
  3. Step 3: Cross multiply
    214,629.75x = 462,469.50 × 462,469.50
  4. Step 4: Simplify right side
    214,629.75x = 213,878,038,430.25
  5. Step 5: Solve for x
    x = 213,878,038,430.25/214,629.75
  6. Step 6: Final answer
    x = 996,497.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.